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Simplifying 20 = 5(3q + -32) Reorder the terms: 20 = 5(-32 + 3q) 20 = (-32 * 5 + 3q * 5) 20 = (-160 + 15q) Solving 20 = -160 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. 20 + -15q = -160 + 15q + -15q Combine like terms: 15q + -15q = 0 20 + -15q = -160 + 0 20 + -15q = -160 Add '-20' to each side of the equation. 20 + -20 + -15q = -160 + -20 Combine like terms: 20 + -20 = 0 0 + -15q = -160 + -20 -15q = -160 + -20 Combine like terms: -160 + -20 = -180 -15q = -180 Divide each side by '-15'. q = 12 Simplifying q = 12
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